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Finding the Third Proportional to 174,993.75 and 383,886

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Solution

The third proportional to 174,993.75 and 383,886 is: 842,135.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,993.75 : 383,886 = 383,886 : x
  2. Step 2: Convert to fraction form
    174,993.75/383,886 = 383,886/x
  3. Step 3: Cross multiply
    174,993.75x = 383,886 × 383,886
  4. Step 4: Simplify right side
    174,993.75x = 147,368,460,996
  5. Step 5: Solve for x
    x = 147,368,460,996/174,993.75
  6. Step 6: Final answer
    x = 842,135.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.